Investigation of the effect of small bubbles on energy dissipation in a vertical Couette–Taylor system

  • Mohammad Hossein Shafiei Mayam
  • Reza Maryami
  • Mohammad Mustafa Ghafurian
Technical Paper
  • 28 Downloads

Abstract

The effect of small bubbles on reduction of energy dissipation has been numerically investigated in a vertical Couette–Taylor system. Flow is in the annular space between two concentric cylinders as the internal cylinder is rotating while the outer cylinder is stationary. Main fluid between cylinders is silicone, while air bubbles are constantly injected into the main flow at the bottom of cylinders’ gap. The air bubbles rise through the flow when they are injected into the silicone flow. The flow is fully turbulence and Taylor vortices have appeared in the annulus gap. The rotational Reynolds number (Reω) varies from 700 to 3000. The fully two-phase turbulent flow has been studied using a discrete phase model and Euler–Lagrange approach. Air bubbles distribution or bubbles pattern through the main flow, which is acquired using numerical method, shows a good agreement to those acquired via experimental data in all Reynolds numbers. To investigate the changes of skin friction drag, the rate of energy dissipation in the system is calculated. The effect of injected air with constant flow rate on the total energy dissipation rate and the drag coefficient is also investigated. The results confirmed reduction of energy dissipation and about 25% of drag reduction when small bubbles were injected in the system. This reduction was the effect of the bubbles on the density of fluid and transformed momentum. Moreover, the acquired numerical results were in good agreement with those found in the previous experimental works, in which maximum Reω is up to 3000.

Keywords

Bubbly flow Taylor coquette system Energy loss 

List of symbols

FD

Drag force

Fr

Froude number

G

Gravity (m/s2)

I

Turbulence intensity

M

Mach number

Q

Volume rate (m3/s)

Re

Reynolds number

R

Radius

Ta

Taylor number

U

The average velocity

U

Velocity(m/s)

u

Velocity in Reynolds stress (m/s)

νw

The kinematic viscosity of the pure water

Y

Dissipation term

We

Weber number

Subscripts

B

Bubble

D

Drag

K

Power gain factor

i

X direction

j

Y direction

k

Z direction

T

Temperature

Greek symbols

α

Volume fraction (closure coefficient in the dissipation rate equation)

β*

Closure coefficient in the turbulent-kenetic energy equation

δ

Radial gap

σ

Surface tension

μ

Viscosity

μt

Turbulence viscosity

ω

Energy dissipation rate

ρ

Density (kg/m3)

Ω

Vorticity

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Mohammad Hossein Shafiei Mayam
    • 1
  • Reza Maryami
    • 2
  • Mohammad Mustafa Ghafurian
    • 3
  1. 1.Department of Mechanical EngineeringBozorgmehr University of QaenatQaenIran
  2. 2.Department of Mechanical EngineeringUniversity of Sistan and BaluchestanZahedanIran
  3. 3.Department of Mechanical EngineeringFerdowsi University of MashhadMashhadIran

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